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Finding the Fourth Proportional to 24,146.27, 36,229.80 and 13,060.76

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Solution

The fourth proportional to 24,146.27, 36,229.80 and 13,060.76 is: 19,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.27 : 36,229.80 = 13,060.76 : x
  2. Step 2: Convert to fraction form
    24,146.27/36,229.80 = 13,060.76/x
  3. Step 3: Cross multiply
    24,146.27x = 36,229.80 × 13,060.76
  4. Step 4: Simplify right side
    24,146.27x = 473,188,541.50
  5. Step 5: Solve for x
    x = 473,188,541.50/24,146.27
  6. Step 6: Final answer
    x = 19,596.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.